Google is a business who wants you to use their analytical service over others. They have no obligation to you send you the information their users are using to find your site.
Google is also arguably close to being a effective monopoly in web search. Antitrust law prohibits using monopoly power in one market (eg search) to acquire a monopoly in another market.
So there's a bit of a bind for Google: strategies that were perfectly legal when they were up-and-coming become illegal at some point of dominance. But there's no 'bright line' for when the rules change -- market definition, thresholds, and acceptable practices can all be argued after the fact.
A naturally competitive company is almost certain to keep the 'pedal to the metal' until it's too late.
> Shouldn't Google push for dominance as far as it possibly can?
If they want to live up to their 'Don't be Evil' motto then they should do it with better products and services not by cutting others down. In the long term I think that will work out better for them.
> Isn't it some other entity's role to stop them?
You could also run that argument for a gangster or any type of criminal I suppose.
A change of this magnitude is not to plug their analytics service. It's to improve search results by cutting off the feedback they're currently giving to SEO gamers. Read my other comment below.